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144042020034 = 2311171015112647
BaseRepresentation
bin1000011000100110010…
…0101100110011000010
3111202210112110202211220
42012021210230303002
54324444224120114
6150101052215510
713256331653163
oct2061144546302
9452715422756
10144042020034
11560a6a68670
1223abb46a596
1310777106823
146d8639d76a
153b309e70a9
hex218992ccc2

144042020034 has 64 divisors (see below), whose sum is σ = 332819269632. Its totient is φ = 41074208000.

The previous prime is 144042020027. The next prime is 144042020047. The reversal of 144042020034 is 430020240441.

It is a happy number.

It is a super-2 number, since 2×1440420200342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144042019986 and 144042020013.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11383099 + ... + 11395745.

It is an arithmetic number, because the mean of its divisors is an integer number (5200301088).

Almost surely, 2144042020034 is an apocalyptic number.

144042020034 is an abundant number, since it is smaller than the sum of its proper divisors (188777249598).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

144042020034 is a wasteful number, since it uses less digits than its factorization.

144042020034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22831.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 144042020034 its reverse (430020240441), we get a palindrome (574062260475).

The spelling of 144042020034 in words is "one hundred forty-four billion, forty-two million, twenty thousand, thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 10151 12647 20302 25294 30453 37941 60906 75882 111661 139117 172567 214999 223322 278234 334983 345134 417351 429998 517701 644997 669966 834702 1035402 1289994 1898237 2364989 3796474 4729978 5694711 7094967 11389422 14189934 128379697 256759394 385139091 770278182 1412176667 2182454849 2824353334 4236530001 4364909698 6547364547 8473060002 13094729094 24007003339 48014006678 72021010017 144042020034